UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to statistics | To learn about the concept of statistics and to recall the concept of measures of central tendency. |
| 2. | Arithmetic mean | To recall the concept of arithmetic mean and the methods to find it. |
| 3. | Measures of dispersion | To learn the different mesures of dispersions. |
| 4. | Deviations from mean, Variance and Standard deviation | To learn the concepts of Deviations from mean, Variance and Standard deviation. |
| 5. | Methods to calculate the standard deviation of ungrouped data | To learn the methods to calculate the standard deviation of ungrouped data. |
| 6. | Methods to calculate the standard deviation of grouped data | To learn the methods to calculate the standard deviation of grouped data. |
| 7. | Direct method to find standard deviation of ungrouped data - Example | To understand the direct method to find standard deviation of ungrouped data with an example. |
| 8. | Mean method to find standard deviation of ungrouped data - Example | To understand the mean method to find standard deviation of ungrouped data with an example. |
| 9. | Assumed mean method to find standard deviation of ungrouped data - Example | To understand the assumed mean method to find standard deviation of ungrouped data with an example. |
| 10. | Step deviation method to find standard deviation of ungrouped data - Example | To understand the step deviation method to find standard deviation of ungrouped data with an example. |
| 11. | Mean method to find standard deviation of grouped data - Example | To understand the mean method to find standard deviation of grouped data with an example. |
| 12. | Assumed mean method to find standard deviation of grouped data - Example | To understand the assumed mean method to find standard deviation of grouped data with an example. |
| 13. | Step deviation method to find standard deviation of grouped data - Example | To understand the step deviation method to find standard deviation of grouped data with an example. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice questions I | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 2. | Multiple choice questions II | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 3. | Multiple choice questions III | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 4. | Multiple choice questions IV | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 5. | Multiple choice question V | Other | easy | 1 m. | Select the correct choice for the given questions. |
| 6. | Multiple choice question VI | Other | easy | 1 m. | Select the correct choice for the given questions. |
| 7. | Multiple choice question VII | Other | easy | 1 m. | Select the correct choice for the given questions. |
| 8. | Two mark example problem I | Other | medium | 2 m. | Try to answer the given questions. |
| 9. | Two mark example problem II | Other | medium | 2 m. | Try to answer the given questions. |
| 10. | Two mark example problem III | Other | medium | 2 m. | Try to answer the given questions. |
| 11. | Two mark exercise problem I | Other | medium | 4 m. | Try to answer the given questions. |
| 12. | Two mark exercise problem II | Other | medium | 2 m. | Try to answer the given questions. |
| 13. | Two mark exercise problem III | Other | medium | 2 m. | Try to answer the given questions. |
| 14. | Two mark exercise problem IV | Other | medium | 2 m. | Try to answer the given questions. |
| 15. | Two mark exercise problem V | Other | medium | 2 m. | Try to answer the given questions. |
| 16. | Two mark exercise problem VI | Other | medium | 2 m. | Try to answer the given questions. |
| 17. | Five mark example problem I | Other | hard | 5 m. | Try to find the standard deviation. |
| 18. | Five mark example problem II | Other | hard | 5 m. | Try to find the standard deviation. |
| 19. | Five mark example problem III | Other | hard | 5 m. | Try to find the standard deviation. |
| 20. | Five mark example problem VI | Other | hard | 5 m. | Try to find the standard deviation. |
| 21. | Five mark example problem V | Other | hard | 5 m. | Try to find the standard deviation. |
| 22. | Five mark example problem VI | Other | hard | 5 m. | Try to find the standard deviation. |
| 23. | Five mark example problem VII | Other | hard | 5 m. | Determine the standard deviation of the given problems. |
| 24. | Five mark example problem VIII | Other | hard | 5 m. | Determine the standard deviation of the given problems. |
| 25. | Five mark example problem IX | Other | hard | 5 m. | Determine the standard deviation of the given problems. |
| 26. | Five mark example problem X | Other | hard | 5 m. | Try to answer the given questions. |
| 27. | Five mark example problem XI | Other | hard | 5 m. | Try to answer the given questions. |
| 28. | Five mark exercise problem I | Other | hard | 5 m. | Try to answer the given questions. |
| 29. | Five mark exercise problem II | Other | hard | 5 m. | Try to answer the given questions. |
| 30. | Five mark exercise problem III | Other | hard | 5 m. | Try to answer the given questions. |
| 31. | Five mark exercise problem IV | Other | hard | 5 m. | Try to answer the given questions. |
| 32. | Five mark exercise problem V | Other | hard | 5 m. | Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the largest value | Other | easy | 2 m. | To find the largest value from the data provided. |
| 2. | Find the range of the distribution | Other | easy | 2 m. | To find the range of the given distribution. |
| 3. | Find the standard deviation | Other | easy | 2 m. | To find the standard deviation using the provided information. |
| 4. | Find the variance | Other | easy | 2 m. | To find the variance from the given standard deviation. |
| 5. | Find the range and its coefficient | Other | medium | 2 m. | To find the range and the coefficient of range for the given set of data. |
| 6. | Calculate the standard deviation by direct method | Other | medium | 5 m. | To calculate the standard deviation by direct method for the given ungrouped data. |
| 7. | Calculate the standard deviation by mean method | Other | medium | 5 m. | To calculate the standard deviation by mean method for the given ungrouped data. |
| 8. | Calculate the standard deviation by assumed mean method | Other | medium | 5 m. | To calculate the standard deviation by assumed mean method for the given ungrouped data. |
| 9. | Calculate the standard deviation by step deviation method | Other | medium | 5 m. | To calculate the standard deviation by step deviation method for the given ungrouped data. |
| 10. | Determine the standard deviation using mean method | Other | medium | 5 m. | To find the standard deviation of the grouped frequency distribution using mean method. |
| 11. | Find the standard deviation of 'n' natural numbers | Other | hard | 5 m. | To prove the formula to find the variance of 'n' natural numbers. |
| 12. | Determine the standard deviation using assumed mean method | Other | hard | 5 m. | To find the standard deviation of the grouped frequency distribution using assumed mean method. |
| 13. | Find the standard deviation using step deviation method | Other | hard | 5 m. | Check your understanding skills in the concept of finding standard deviation using step deviation method for a grouped data. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the range | Other | easy | 2 m. | Try to find the range. |
| 2. | Find the smallest value | Other | easy | 2 m. | Try to answer the given questions. |
| 3. | Calculate the standard deviation | Other | hard | 5 m. | Try to find the standard deviation. |
| 4. | Find the remaining observation | Other | hard | 5 m. | To find the remaining values of the observations from the data provided. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the range of the given distribution | Other | easy | 2 m. | To find the range of the given distribution. |
| 2. | Find the new standard deviation | Other | easy | 2 m. | To find the new standard deviation from the given data using the property of standard deviation. |
| 3. | Prove the formula | Other | medium | 2 m. | To prove the formula to find the variance of 'n' natural numbers. |
| 4. | Find the standard deviation using mean method | Other | hard | 5 m. | To find the standard deviation of the grouped frequency distribution using mean method. |
| 5. | Range of the data | Other | easy | 1 m. | Try to find the range. |
| 6. | Standard deviation | Other | medium | 1 m. | Try to answer the given questions. |
| 7. | Variance of the data | Other | easy | 1 m. | Select the correct choice for the given questions. |
| 8. | The variance of the data | Other | easy | 1 m. | Select the correct choice for the given questions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | easy | 4 m. | |
| 2. | Homework II | 00:20:00 | easy | 5 m. | |
| 3. | Homework III | 00:20:00 | easy | 10 m. | |
| 4. | Homework IV | 00:25:00 | medium | 8 m. | |
| 5. | Homework V | 00:25:00 | medium | 15 m. | |
| 6. | Homework VI | 00:25:00 | medium | 15 m. | |
| 7. | Homework VII | 00:25:00 | medium | 15 m. | |
| 8. | Homework VIII | 00:25:00 | medium | 15 m. | |
| 9. | Homework IX | 00:25:00 | hard | 20 m. | |
| 10. | Revision test I | 00:25:00 | medium | 20 m. | |
| 11. | Revision test II | 00:35:00 | medium | 9 m. | |
| 12. | Revision test III | 00:40:00 | hard | 15 m. | |
| 13. | Revision test IV | 00:45:00 | hard | 20 m. | |
| 14. | Revision test V | 00:45:00 | hard | 11 m. | |
| 15. | Revision test VI | 00:45:00 | hard | 11 m. | |
| 16. | Revision test VII | 00:45:00 | hard | 12 m. | |
| 17. | Periodic Assessment | 00:15:00 | medium | 4 m. | PAT 2 |
| 18. | Periodic Assessment - Extended version | 00:10:00 | medium | 2 m. | |
| 19. | Periodic Assessment - 3 | 00:10:00 | medium | 1 m. | PA3 |
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